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 "Walking on a lattice.  The number of various paths from (0,0) to (m,n)  \
using north and east steps is binomial coefficient ",
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 ". \n if he needs to go back (0,0) using south and west steps, and doesn't \
pass by the passed points. Then what is the number of various loops walking \
from (0,0) to (m,n) then returning to (0,0)? Any algebraic expression for \
this?"
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